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arxiv: 1207.5191 · v1 · pith:LJORFXPFnew · submitted 2012-07-22 · 🧮 math.AP · cs.IT· math.DG· math.DS· math.IT

Schrodinger equation and wave equation on finite graphs

classification 🧮 math.AP cs.ITmath.DGmath.DSmath.IT
keywords equationfiniteschrodingerwaveapplicationsboundaryconditionconnected
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In this paper, we study the schrodinger equation and wave equation with the Dirichlet boundary condition on a connected finite graph. The explicit expressions for solutions are given and the energy conservations are derived. Applications to the corresponding nonlinear problems are indicated.

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